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Finding the Fourth Proportional to 299,353.32, 413,103.78 and 165,208.68

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Solution

The fourth proportional to 299,353.32, 413,103.78 and 165,208.68 is: 227,985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,353.32 : 413,103.78 = 165,208.68 : x
  2. Step 2: Convert to fraction form
    299,353.32/413,103.78 = 165,208.68/x
  3. Step 3: Cross multiply
    299,353.32x = 413,103.78 × 165,208.68
  4. Step 4: Simplify right side
    299,353.32x = 68,248,330,196.81
  5. Step 5: Solve for x
    x = 68,248,330,196.81/299,353.32
  6. Step 6: Final answer
    x = 227,985.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.